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Repulsive versus attractive Hubbard model: Transport properties and spin-lattice relaxation rate

机译:排斥性与吸引力的哈伯德模型:输运性质和自旋晶格弛豫率

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摘要

We contrast the transport properties (dc resistivity, Seebeck coefficient), optical conductivity, spectral functions, dynamical magnetic susceptibility, and the nuclear magnetic resonance 1 / T_1 spin-lattice relaxation rate of the repulsive and attractive infinite-dimensional Hubbard models in the paramagnetic phase for a generic band filling. The calculations are performed in a wide temperature interval using the dynamical mean-field theory with the numerical renormalization group as the impurity solver. The attractive case exhibits significantly more complex temperature dependencies which can be explained by the behavior of the half-filled Hubbard model in external magnetic field with constant magnetization, to which the attractive Hubbard model maps through the partial particle-hole transformation. The resistivity is nonmonotonous for the strongly attractive case: it peaks significantly above the Mott-Ioffe-Regel value at a temperature T_(max) where the quasiparticle band disappears. For both signs of U we find particle-hole asymmetry in the self-energy at low energies, but with the opposite kind of excitations having longer lifetime. This leads to a strong suppression of the slope of the Seebeck coefficient in the attractive case rather than an enhancement as in the repulsive case. The spin-lattice relaxation rate in the strongly attractive case has a nonmonotonic temperature dependence, thereby revealing the pairing fluctuations.
机译:我们对比了顺磁相排斥和有吸引力的无限维哈伯德模型的输运特性(直流电阻率,塞贝克系数),光导率,光谱函数,动态磁化率和核磁共振1 / T_1自旋晶格弛豫率用于通用乐队填充。使用动态平均场理论,在数值重归一化组作为杂质求解器的情况下,在宽温度区间内执行计算。有吸引力的情况下表现出明显更复杂的温度依赖性,这可以用半填充的Hubbard模型在具有恒定磁化强度的外部磁场中的行为来解释,有吸引力的Hubbard模型通过部分粒子-空穴变换映射到该行为。对于极具吸引力的情况,电阻率是非单调的:在准粒子带消失的温度T_(max)处,其峰值明显高于Mott-Ioffe-Regel值。对于U的两个符号,我们发现低能量时自能量中的粒子-孔不对称,但是相反类型的激发具有更长的寿命。这在有吸引力的情况下导致塞贝克系数斜率的强烈抑制,而不是在排斥情况下得到增强。在极具吸引力的情况下,自旋晶格弛豫速率具有非单调的温度依赖性,从而揭示了配对波动。

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